Course Descriptions

The course descriptions listed below are arranged alphabetically
under the heading of the department or program offering the instruction. Courses
offered jointly by two or more programs are described under each program involved
and cross referenced.

Most graduate study programs include courses offered by departments
other than the students major department. Students are urged to consider
the complete list of course offerings in planning their programs of study.

Courses with 500 numbers are intermediate-level courses that
may be taken by both undergraduate and graduate students. Courses with numbers
between 600 and 699 are introductory graduate courses recommended for beginning
graduate students or non-majors. Courses with numbers of 700 and above are recommended
for advanced graduate and doctoral students.

All courses are offered subject to adequate enrollment; thus,
any course may be cancelled if enrollment is insufficient.

Unless otherwise indicated, courses meet for three hours of
lecture each week. Each semester course in the School of Engineering and Applied
Science carries separate credit, whether described separately or not. The number
set in brackets following a course title indicates the number of credits granted
for that course. Enrollment in courses for which there are no prerequisites
listed, or for which prerequisites are not met require the instructors
permission.

Aerospace Engineering

Applied Mathematics

APMA 507 - (3) (SI)Numerical MethodsPrerequisite: Two years of college mathematics, including
some linear algebra and differential equations, and the ability to write computer
programs.
Introduces techniques used to obtain numerical solutions, emphasizing
error estimation. Areas of application include approximation and integration
of functions, and solution of algebraic and differential equations.

APMA 624 - (3) (O)Nonlinear Dynamics and WavesPrerequisite: Undergraduate ordinary differential equations
or instructor permission.
Introduces phase-space methods, elementary bifurcation
theory and perturbation theory, and applies them to the study of stability in
the contexts
of nonlinear dynamical systems and nonlinear waves, including free and forces
nonlinear vibrations and wave motions. Examples are drawn from mechanics and
fluid dynamics, and include transitions to periodic oscillations and chaotic
oscillations. Also cross-listed as MAE 624.

APMA 634 - (3) (SI)Numerical AnalysisPrerequisite: Two years of college mathematics, including
some linear algebra, and the ability to write computer
programs.
Topics include the solution of systems of linear and nonlinear
equations, calculations of matrix eigenvalues, least squares problems, and
boundary value problems in ordinary and partial differential equations.

APMA 708 - (3) (SI)Inelastic Solid MechanicsPrerequisite: AM 602.
Emphasizes the formulation of a variety of nonlinear
models. Specific topics include nonlinear elasticity, creep, visco-elasticity,
and elasto-plasticity.
Solutions to boundary value problems of practical interest are presented in
the context of these various theories in order to illustrate the differences
in stress distributions caused by different types of material nonlinearities.
Cross-listed as AM 708.

APMA 714 - (3) (SI)Nonlinear Elasticity TheoryPrerequisite: AM/APMA 602.
Describes the theory of finite (nonlinear)
elasticity governing large deformations of highly deformable elastic solids.
Emphasizes new features
not present in the linear theory, including instabilities (both material and
geometric), normal stress effects, non-uniqueness, bifurcations, and stress
singularities. A variety of illustrative boundary value problems that exhibit
some of the foregoing features are discussed. Both physical and mathematical
implications are considered. The results are applicable to rubber-like and
biological materials and the theory serves as a prototype for more elaborate
nonlinear
theories of mechanics of continuous media. Cross-listed as AM 714.

APMA 734 - (3) (SI)Numerical Solution of Partial Differential EquationsPrerequisite: One or more graduate courses in mathematics
or applied mathematics.
Topics include the numerical solution of elliptic equations
by finite element methods; solution of time dependent problems by finite element
and finite difference methods; and stability and convergence results for the
methods presented.

APMA 792 - (Credit as arranged) (SI)Independent StudyDetailed study of advanced graduate-level material on an independent
basis under the guidance of a faculty member.

APMA 847, 848 - (3) (SI)Advanced Topics in Applied MathematicsPrerequisite: Instructor permission.
Course content varies from year
to year and depends on students interests and needs. See APMA 747 for possible
topics.

APMA 895 - (Credit as arranged) (S-SS)Supervised Project ResearchFormal record of student commitment to project research for
Master of Applied Mathematics degree under the guidance of a faculty advisor.
Registration may be repeated as necessary.

AM 613 - (3) (Y)Mathematical Foundations of Continuum MechanicsPrerequisite: Linear algebra, vector calculus, elementary
PDE (may be taken concurrently).
Describes the mathematical foundations of continuum
mechanics from a unified viewpoint. The relevant concepts from linear algebra,
vector
calculus, and Cartesian tensors; the kinematics of finite deformations and
motions leading to the definition of finite strain measures; the process of linearization;
and the concept of stress. Conservation laws of mechanics yield the equations
of motion and equilibrium and description of constitutive theory leading to
the constitute laws for nonlinear elasticity, from which the more familiar
generalized Hookes law for linearly elastic solid is derived. Constitutive
laws for a Newtonian and non-Newtonian fluid are also discussed. The basic problems
of
continuum mechanics are formulated as boundary value problems for partial differential
equations. Cross-listed as APMA 613.

AM 620 - (3) (Y)Energy Principles in MechanicsPrerequisite: Instructor permission.
Analyzes the derivation, interpretation,
and application of the principles of virtual work and complementary virtual work
to engineering
problems; related theorems, such as the principles of the stationary value
of the total potential and complementary energy, Castiglianos Theorems, theorem
of least work, and unit force and displacement theorems. Introduces generalized,
extended, mixed, and hybrid principles; variational methods of approximation,
Hamiltons principle, and Lagranges equations of motion. Uses variational
theorems to approximate solutions to problems in structural mechanics. Cross-listed
as CE 620 and MAE 620.

AM 628 - (3) (SI)Motion BiomechanicsPrerequisite: BIOM 603 or instructor permission.
Focuses on the study
of forces (and their effects) which act on the musculoskeletal structures of
the human body. Based on the foundations
of functional anatomy and engineering mechanics (rigid body and deformable
approaches); students are exposed to clinical problems in orthopedics and rehabilitation.
Cross-listed as BIOM 628.

AM 704 - (3) (SI)Theory of ShellsPrerequisite: AM 602 and 604.
Introduces the nonlinear, thermoelastic
theory of shells. Governing equations are derived by a mixed approach in which
those equations of three-dimensional
continuum mechanics that are independent of material properties are used to
derive the corresponding shell equations, whereas the constitutive equations
of shell theory which, unavoidably, depend on experiments, are postulated.
Emphasizes efficient, alternative formulations of initial/boundary value problems,
suitable
for asymptotic or numerical solution, and discusses variational principles.
Some comparisons made with exact, three-dimensional solutions.

AM 708 - (3) (SI)Inelastic Solid MechanicsPrerequisite: AM 602.
Emphasizes the formulation of a variety of nonlinear
models. Specific topics include nonlinear elasticity, creep, visco-elasticity,
and elasto-plasticity.
Solutions to boundary value problems of practical interest are presented in
the context of these various theories in order to illustrate the differences
in stress distributions caused by different types of material nonlinearities.
Cross-listed as APMA 708.

AM 714 - (3) (SI)Nonlinear Elasticity TheoryPrerequisite: AM 602.
Describes the theory of finite (nonlinear) elasticity
governing large deformations of highly deformable elastic solids. New features
not present
in the linear theory are emphasized. These include instabilities (both material
and geometric), normal stress effects, non-uniqueness, bifurcations and stress
singularities. A variety of illustrative boundary value problems will be discussed
which exhibit some of the foregoing features. Both physical and mathematical
implications considered. The results are applicable to rubber-like and biological
materials and the theory serves as a prototype for more elaborate nonlinear
theories of mechanics of continuous media. Cross-listed as APMA 714.

AM 793 - (Credit as arranged) (Y)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

AM 822 - (3) (SI)BiomechanicsPrerequisite: Instructor permission.
Topics include the rheological
properties of biological tissues and fluids, with emphasis on methods of measurement
and data organization; basic
principles of continuum mechanics and their application to mechanical problems
of the heart, lung, and peripheral circulation; criteria for selecting either
lumped or continuous models to simulate mechanical interaction of biological
systems (and mechanical prostheses) and application of such models under static
and dynamic loading conditions. Cross-listed as BIOM 822.

AM 895 - (Credit as arranged) (Y)Supervised Project ResearchFormal record of student commitment to project research for
Master of Engineering degree under the guidance of a faculty advisor. May be
repeated as necessary.

Biomedical Engineering

BIOM 603 - (3) (Y)Physiology IPrerequisite: Instructor permission. Suggested preparation:
physics, chemistry, cell biology, and calculus.
The integration of biological
subsystems into a coherent, functional organism is presented, in a course designed
for students with either an engineering
or life science background. Topics covered include major aspects of mammalian
physiology, with an emphasis on mechanisms. The structure and function of each
system is treated, as well as the interrelations and integration of their hormonal
and neural control mechanisms. Studies how excitable tissue, nerves, and muscle,
and the cardiovascular and respiratory systems work.

BIOM 604 - (3) (Y)Physiology and PathophysiologyPrerequisite: BIOM 603 or instructor permission.
This course will emphasize
a fundamental understanding of physiology with a focus on mechanisms, and continues
the coverage of major systems from
BIOM 603. Studies the renal, gastrointestinal, endocrine, and central nervous
systems. Integration of function from molecule to cell to organ to body. Includes
some functional anatomy. Quantitative understanding of problems like salt and
water balance through class work and homework sets. Five lectures on specific
diseases and their pathophysiology.

BIOM 610 - (4) (Y)Instrumentation and Measurement in Medicine IPrerequisite: Instructor permission. Suggested preparation:
physics and mathematics through differential equations.
Presentation of the
fundamental circuit concepts and signal and system analysis methods used in the
design and analysis of medical instrumentation.
Circuit concepts include passive electronic circuits, operational amplifier
circuits, circuit solution methods, and filter design methods. Special emphasis
is placed on circuits commonly employed in medical devices, such as, differential
amplifiers and filtering networks used in electrocardiograph systems. Signal
and system analysis topics include linear system definitions, convolution,
Fourier transforms, and Laplace transforms. Students perform a project using
the signal
and systems analysis methods to model and analyze biomedical problems. A laboratory,
equivalent to one of the four course credits, provides experience in electronic
circuit construction and testing, and numerical modeling and analysis of signals
and systems.

BIOM 628 - (3) (Y)Prerequisite: BIOM 603.
Focuses on the study of forces (and their effects)
that act on the musculoskeletal structures of the human body. Based on the foundations
of functional anatomy and engineering mechanics (rigid body and deformable approaches);
students are exposed to clinical problems in orthopedics and rehabilitation.
Cross-listed as AM-628.

BIOM 695 - (3) (Y)Special Topics in Biomedical Engineering

BIOM 701 - (3) (E)Fundamentals of Biophysical SciencesPrerequisite: Undergraduate fluid mechanics or transport
phenomena.
The major focus of the course is an analysis of the fundamental
transport properties relevant to biologic systems: diffusion, momentum and
mass transport, hydrodynamics of macromolecules and cells, suspension stability
(colloidal)
and rheology of concentrated suspensions, and flow through permeable and semi-permeable
media. Transport models will be developed to analyze processes such as blood
coagulation, biomolecular transport in tissue, hemodialysis, protein-surface
interactions, and forces underlying physical organization of cell membranes,
which will then be extended to appropriate design problems relevant to the
biomedical engineering industry.

BIOM 741 - (3) (SI)BioelectricityPrerequisite: Instructor permission.
Comprehensive overview of the
biophysical mechanisms governing production and transmission of bioelectric signals
in living systems, biopotential
measurement and analysis techniques in clinical electrophysiology (ECG, EEG,
and EMG), and the principles of operations for therapeutic medical devices that
aid bioelectrical function of the cardiac and nervous systems. Lectures are
supplemented by a computer project simulating the action potential generation,
review of papers published in professional journals, and field trips to clinical
laboratories at the University of Virginia Hospital.

BIOM 783 - (3) (SI)Medical Image ModalitiesCorequisite: BIOM 610 or instructor permission.
Studies engineering
and physical principles underlying the major imaging modalities such as X-ray,
ultrasound CT, MRI, and PET. A comprehensive
overview of modern medical imaging modalities with regard to the physical basis
of image acquisition and methods of image reconstruction. Students learn about
the tradeoffs, which have been made in current implementations of these modalities.
Considers both primarily structural modalities (magnetic-resonance imaging,
electrical-impedance tomography, ultrasound, and computer tomography) and primarily
functional modalities (nuclear medicine, single-photon-emission computed tomography,
positron-emission tomography, magnetic-resonance spectroscopy, and magnetic-source
imaging).

BIOM 784 - (3) (SI)Medical Image AnalysisPrerequisite: BIOM 610 and ECE 682/CS 682, or instructor
permission.
Comprehensive overview of medical image analysis and visualization.
Focuses on the processing and analysis of these images for the purpose of quantitation
and visualization to increase the usefulness of modern medical image data. Topics
covered involve image formation and perception, enhancement and artifact reduction,
tissue and structure segmentation, classification and 3-D visualization techniques
as well as pictures archiving, communication and storage systems. Involves "hands-on" experience
with homework programming assignments.

BIOM 822 - (3) (SI)Advanced BiomechanicsPrerequisite: BIOM 603 and MAE 602, or instructor permission.
The course
is to provide a comprehensive coverage of the mechanical properties of living
tissues and fluids. The formulation of their mechanical
and rheological properties for quantitative analysis of biological deformation
and fluid flow in vivo and the implications of the active and passive mechanical
properties to biological problems are emphasized.

BIOM 891 - (3) (SI)Diagnostic Ultrasound ImagingPrerequisite: instructor permission, BIOM 610 and BIOM
611. Preparation: Undergraduate Physics, Electronic circuit analysis, Differential
Equations, Fourier and Laplace Transforms, Sampling Theorems.
Underlying principles
of array based ultrasound imaging. Physics
and modeling techniques used in ultrasound transducers. Brief review of ID
circuit transducer models. Use of Finite Element techniques in transducer design.
Design
considerations for 1.5D and 2D arrays will be reviewed. Diffraction and beamforming
will be introduced starting from Huygens principle. FIELD propagation
model will form an important part of the class. In depth discussion of various
beamforming and imaging issues such as sidelobes, apodization, grating lobes,
resolution, contrast, etc. The course addresses attenuation, time-gain-compensation
and refraction. Finally, speckle statistics and K-Space techniques will be introduced.
Laboratories will involve measuring ultrasound image metrics, examining the
effect of various beamforming parameters and simulating these on a computer
using Matlab.

BIOM 892 - (3) (SI)Biomolecular EngineeringUsing a problem-based approach, a number of current bioengineering
technologies applicable to tissue engineering, wound healing, drug delivery,
and gene delivery are examined. Special topics include microfluidics and low
Reynolds number hydrodynamics, molecular mechanics related to cell and microparticle
sorting, and micropatterning surfaces for cell and tissue engineering.

BIOM 895 - (3) (SI)Research: Biomedical Engineering EntrepreneurshipPrerequisite: Instructor permission.
The goal of this course is to
give students insight into and experience in utilizing the opportunities available
to biomedical engineers
as they become successful entrepreneurs. The lectures will cover topics including
Small Business Innovative Research (SBIR) grants, business plans for the development
of medical devices, and patent and 510 k applications. Students will form teams
of five and draft an SBIR grant and a business plan for a pacemaker, cardiac
defibrillator, vascular stent, hemodialysis machine, tissue replacement, or
a medical device of students own interests.

Chemical Engineering

CHE 615 - (3) (Y)Advanced ThermodynamicsPrerequisite: Undergraduate-level thermodynamics or
instructor permission.
Development of the thermodynamic laws and derived relations.
Application of relations to properties of pure and multicomponent systems at
equilibrium in the gaseous, liquid, and solidphases. Prediction and calculation
of phase and reaction equilibria in practical systems.

CHE 635 - (3) (Y)Process Control and DynamicsPrerequisite: Instructor permission.
Introduction to dynamics and control
of process systems, controllers, sensors, and final control elements. Development
and application of time- and
frequency-domain characterizations of subsystems for stability analyses of
closed control loops. State-space models, principles of sampled-data analysis
and digital
control techniques. Elementary systems identification with emphasis on dead
time, distributed parameters, and nonlinearities.

CHE 649 - (3) (Y)Polymer Chemistry and EngineeringPrerequisite: CHE 321 or instructor permission.
Analyzes the mechanisms
and kinetics of various polymerization reactions; relations between the molecular
structure and polymer properties,
and how these properties can be influenced by the polymerization process; fundamental
concepts of polymer solution and melt rheology. Applications to polymer processing
operations, such as extrusion, molding, and fiber spinning. Three lecture hours.

CHE 674 - (4) (Y)Process Design and EconomicsPrerequisite: Instructor permission.
Factors that determine the genesis
and evolution of a process. Principles of marketing and technical economics and
modern process design principles
and techniques, including computer simulation with optimization.

CHE 793 - (Credit as arranged) (S)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

CHE 795 - (Credit as arranged) (S)Supervised Project ResearchFormal record of student commitment to project research for
Master of Engineering degree under the guidance of a faculty advisor. May be
repeated as necessary.

CHE 796 - (1) (S)Graduate SeminarWeekly meetings of graduate students and faculty for presentations
and discussion of research in academic and industrial organizations. May be
repeated.

CHE 820 - (3) (SI)Modeling of Biological Processes in Environmental SystemsPrerequisite: Instructor permission.
Use of mathematical models to
describe processes such as biological treatment of chemical waste, including
contaminant degradation and bacterial
growth, contaminant and bacterial transport, and adsorption. Engineering analyses
of treatment processes such as biofilm reactors, sequenced batch reactors, biofilters
and in situ bioremediation. May include introduction to hydrogeology, microbiology,
transport phenomena and reaction kinetics relevant to environmental systems;
application of material and energy balances in the analysis of environmental
systems; and dimensional analysis and scaling. Guest lectures by experts from
industry, consulting firms and government agencies to discuss applications of
these bioremediation technologies.

CHE 833 - (3) (SI)Specialized Separation ProcessesPrerequisite: Instructor permission.
Less conventional separation processes,
such as chromatography, ion-exchange, membranes, and crystallization using in-depth
and modern chemical
engineering methods. Student creativity and participation through development
and presentation of individual course projects.

CHE 881, 882 - (3) (SI)Special Topics in Chemical EngineeringPrerequisite: Permission of the staff.
Special subjects at an advanced
level under the direction of staff members.

CHE 893 - (Credit as arranged) (S)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

CE 620 - (3) (Y)Energy Principles in MechanicsPrerequisite: Instructor permission.
Derivation, interpretation, and
application to engineering problems of the principles of virtual work and complementary
virtual work. Related
theorems such as the principles of the stationary value of the total potential
and complementary energy, Castigilianos Theorems, theorem of least work,
and unit force and displacement theorems. Introduction to generalized, extended,
mixed, and hybrid principles. Variational methods of approximation, Hamiltons
principle, and Lagranges equations of motion. Approximate solutions to
problems in structural mechanics by use of variational theorems. Cross-listed
as AM 620, MAE 620.

CE 631 - (3) (E)Intelligent Transportation SystemsPrerequisite: CE 633, 635, and 636 or 638.
Intelligent transportation
systems (ITS) can best be defined as the application of information technology
to the surface transportation system.
This technology, which includes communications, sensors, and computer hardware
and software, supports both travelers and transportation providers in making
effective decisions. Provides an introduction to the concepts of intelligent
transportation systems (ITS) through a systems engineering case study approach.
Students work in teams on ITS case studies through the course of the semester.
The cases are actual problems for state and federal departments of transportation.
Provides students with experience applying systems engineering, exposure to
ITS concepts, and opportunities to examine advanced ITS technology.

CE 633 - (3) (Y)Transportation Systems Planning and Analysis IPrerequisite: Graduate standing or instructor permission.
Introduces
the legal requirements, framework, and principles of urban and statewide planning.
Focuses on describing and applying the methodology
of the forecasting system of the transportation planning process, including
inventory (data collection and information systems), forecasts of population
and economic activity, network analysis, and travel demand analysis. Also introduces
computerized models for transportation planning.

CE 635 - (3) (Y)Intermodal TransportationPrerequisite: CE 633.
Studies the structure of domestic freight and
passenger transportation in the United States. Focuses on the integration of
modes, economic impacts,
national transportation policy and advanced technology. Case studies of contemporary
examples of intermodal integration are explored.

CE 636 - (3) (Y)Traffic OperationsPrerequisite: Graduate standing or instructor permission.
Covers the
methods for evaluating the impact on the quality of traffic operations due to
the interaction of the three main components of
the highway mode: the driver, the vehicles, and the road. Includes the collection
and analysis of traffic operations data, fundamentals of traffic flow theory,
analysis of capacity and level of service and accident analysis.

CE 637 - (3) (IR)Transportation Safety EngineeringPrerequisite: CE 344 and 444 or instructor permission.
A study of different
transportation systems management strategies, including their long-range impact
on efficient use of the systems and on safety.
Focuses on traffic signals, isolated intersections, arterials and networks,
geometrics, HOV lanes, and safety. A case study will also be conducted of a
system in operation.

CE 638 - (3) (Y)Public TransportationPrerequisite: Graduate standing.
Study of the application of transportation
systems and technologies in an urban context. Focuses on the management and operation
of public transit
systems, and comparative costs and capabilities of transit modes.

CE 639 - (3) (IR)Financing Transportation InfrastructurePrerequisite: CE 635.
The financing of transportation systems and services
is an important element in the process of developing new or renovated facilities.
This course develops familiarity with financing techniques that have been proposed
or used by localities and state agencies. Consideration is given to advantages
and disadvantages and the conditions appropriate to their application.

CE 641 - (3) (Y)Water Quality ModelingPrerequisite: CE 430 or instructor permission.
A first course in surface
water quality modeling. Emphasizes the basic understanding of the mechanisms
and interactions to various types
of water quality behavior. Designed to meet a very simple needdissemination
of the fundamentals and principles underlying the mathematical modeling techniques
used to analyze the quality of surface waters. Students practice wasteload
allocations
using a variety of water quality models on microcomputer systems.

CE 653 - (3) (Y)HydrologyPrerequisite: CE 336 or instructor permission.
Stresses the quantitative
description and the physical basis of hydrology. Both deterministic and stochastic
methodology are applied to the
analysis of the hydrologic cycle, namely, precipitation, evaporation, overland
flow and stream flow, infiltration, and groundwater flow. The use of computer
simulation models, especially microcomputer based models, is emphasized.

CE 677 - (3) (SI)Risk and Reliability in Structural EngineeringPrerequisite: Background in probability and statistics.
Studies the
fundamental concepts of structural reliability; definitions of performance and
safety, uncertainty in loadings, materials and
modeling. Analysis of loadings and resistance. Evaluation of existing design
codes. Development of member design criteria, including stability, fatigue and
fracture criteria; and the reliability of structural systems.

CE 685 - (3) (SI)Experimental MechanicsPrerequisite: CE 323.
Analyzes the theories and techniques for the
determination of static and dynamic stresses, strains, and deformations. Studies
include photoelastic,
electrical, mechanical, and optical methods and instruments. Both models and
full-scale specimens will be used in experimental testing.

CE 695 - (Credit as arranged) (Y)Supervised Project ResearchFormal record of student commitment to
project research under the guidance of a faculty advisor. Registration may be
repeated as necessary.
Masters-level graduate students.

CE 696 - (1) (Y)Graduate SeminarWeekly meeting of masters-level graduate students and
faculty for presentation and discussion of contemporary research and practice
in civil engineering. This seminar is offered for credit every spring semester
and should be taken by all students in the masters program.

CE 700 - (0) (Y)Graduate SeminarPrerequisite: For students who have established resident
credit.
Weekly meeting of graduate students and faculty for presentation
and discussion of contemporary research and practice in civil engineering.
This seminar is offered every spring semester.

CE 724 - (3) (Y)Dynamics of StructuresPrerequisite: Concrete and metal structure design and
CE 623.
Study of the dynamic behavior of such structures as beams,
rigid frames, floors, bridges, and multi-story buildings under the action
of various disturbing forces such as wind, blasts, earthquakes, vehicles, machinery,
etc.

CE 732 - (3) (E)Transportation Systems Planning and Analysis IIPrerequisite: CE 633, 634, and 636.
Introduces the non-travel impacts
of transportation systems and the methodologies used to capture them for project
evaluation; to develop
and illustrate methodologies used for evaluating the effectiveness of transportation
systems/projects including benefit-cost analysis and multi-objective decision
models, and; to illustrate the analysis of different alternatives.

CE 738 - (3) (O)Integrated Transportation Systems ModelsPrerequisite: CE 636.
Introduces the current and advanced optimization
and simulation computer models used in traffic operations. Increased familiarity
with the concepts
and methodologies associated with selecting an appropriate model for a given
situation. Covers the advantages and disadvantages of the models considered
and is project-oriented, with students spending a significant amount of time
in selecting and using these models to solve "real world" problems.

CE 739 - (3) (IR)Advanced Topics in TransportationFocuses on selected contemporary problems in transportation
that are of interest to the students and faculty. Seminars, guest lecturers,
projects.

CE 742 - (3) (SI)Modeling Environmental Fate and Effects of ContaminantsPrerequisite: CE 641 or instructor permission.
Designed as a follow-up
course for Water Quality Modeling, this course covers a number of modeling applications.
Designed to apply water
quality models to regulatory oriented water quality problems. Emphasis on reading
water quality data using models, the results of which serve as a rational basis
for making water quality control decisions. Each student conducts an individual
water quality modeling study using actual data.

CE 743 - (3) (E)Theory of Groundwater Flow and Contaminant TransportPrerequisite: CE 655 or equivalent.
Provides a theoretical framework
for understanding fluid flow and contaminant transport in porous media. Topics
include the properties of
a porous medium, including types of phases, soil and clay mineralogy, surface
tension and capillarity, soil surface area, and soil organic-matter composition;
the derivation of the general equations for multi-phase fluid flow and multi-species
solute transport; and the fundamentals of the fate and transport processes of
organic pollutants in ground-water systems, including advection, dispersion,
diffusion, sorption, hydrolysis, and volatilization.

CE 748 - (3) (SI)Design of Waste Containment FacilitiesCorequisite: CE 644 and 655.
Covers concepts important to the design
and construction of new waste disposal facilities, and to the closure of existing
disposal facilities.
Emphasizes the fundamentals of contaminant behavior in a porous media, engineering
designs to reduce contaminant migration, and issues related to the operation,
monitoring, and closure of waste disposal facilities.

CE 750 - (3) (SI)Hazardous Waste Site Characterization and RemediationCorequisite: CE 644 and 655.
Covers concepts important to the characterization
and remediation of hazardous contamination of soil and groundwater. Theoretical
concepts of
contaminant behavior in the subsurface, methods of contaminant detection, and
remedial systems are combined with issues of practical implementation at the
field scale.

CE 795 - (Credit as arranged) (Y)Supervised Project ResearchFormal record of student commitment to project research under
the guidance of a faculty advisor. Registration may be repeated as necessary.
Doctoral-level graduate student.

CE 796 - (1) (Y)Graduate SeminarWeekly meeting of doctoral-level graduate students and faculty
for presentation and discussion of contemporary research and practice in civil
engineering. This seminar is offered for credit every spring semester and should
be taken by all students in the Ph.D. program.

Computer Science

CS 551 - (3) (SI)Special Topics in Computer SciencePrerequisite: Instructor permission.
Course content varies by section
and is selected to fill timely and special interests and needs of students. See
CS 751 for example topics.
May be repeated for credit when topic varies.

CS 571 - (3) (Y)Translation SystemsPrerequisite: CS 333 or instructor permission.
Study of the theory,
design, and specification of translation systems. Translation systems are the
tools used to translate a source language
program to a form that can be executed. Using rigorous specification techniques
to describe the inputs and outputs of the translators and applying classical
translation theory, working implementations of various translators are designed,
specified, and implemented.

CS 586 - (3) (Y)Real-Time SystemsPrerequisites: CS 333 and CS 414, knowledge of C or
C++, or instructor permission.
This course presents the underlying theory, concepts,
and practice for real-time systems, such as avionics, process control, space
travel, mobile
computing and ubiquitous computing. The goals of the course include: introducing
the unique problems that arise when time constraints are imposed on systems,
identifying basic theory and the boundary between what is known today and what
is still research, stressing a systems integration viewpoint in the sense of
showing how everything fits together rather than presenting a collection of
isolated solutions, and addressing multiprocessing and distributed systems.
This course also presents some of the basic results from what might be called
the classical technology of real-time computing and presents these results in
the context of new applications of this technology in ubiquitous/pervasive computer
systems.

CS 587 - (3) (Y)Security in Information SystemsPrerequisites: CS 340 and either CS 457 or CS 414 or
instructor permission.
This course focuses on security as an aspect of a variety
of software systems. We will consider software implementations of security related
policies in the context of operating systems, networks, and data bases. Topics
include: operating system protection mechanisms, intrusion detection systems,
formal models of security, cryptography and associated security protocols, data
base security, worms, viruses, network and distributed system security, and
policies of privacy and confidentiality.

CS 616 - (3) (Y)Knowledge-Based SystemsPrerequisite: Graduate standing.
Introduces the fundamental concepts
for research, design, and development of knowledge-based systems. Emphasizes
theoretical foundations of
artificial intelligence, problem solving, search, and decision making with
a view toward applications. Students develop a working knowledge-based system
in a realistic application domain. Cross-listed as SYS 616.

CS 644 - (3) (Y)Introduction to Parallel ComputingPrerequisites: CS 308, 414, and 415, or instructor permission.
Introduces
the basics of parallel computing. Covers parallel computation models, systems,
languages, compilers, architectures, and algorithms.
Provides a solid foundation on which advanced seminars on different aspects
of parallel computation can be based. Emphasizes the practical application of
parallel systems. There are several programming assignments.

CS 650 - (3) (Y)Building Complex Software SystemsPrerequisite: First-year standing as a CS graduate,
good programming skills, undergraduate mastery of operating systems and programming
languages, or instructor permission.
This course requires actual implementation
of a complex, challenging
system such as those encountered in todays world. Most systems undertaken
involve an external interface implementation, such as a real-time controller,
robotic management, requiring sophisticated sensor input. Available implementation
tools, such a CORBA, distributed RPC calls, and GUI interface systems are mastered
as appropriate to the project. Similarly, relevant software engineering concepts,
such as system specification and documentation methodologies are developed
as
appropriate to the project.

CS 651 - (3) (SI)Special Topics in Computer SciencePrerequisite: Instructor permission.
Course content varies by section
and is selected to fill timely and special interests and needs of students. See
CS 751 for example topics.
May be repeated for credit when topic varies.

CS 693 - (Credit as arranged) (SI)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

CS 696 - (1) (Y)Computer Science PerspectivesPrerequisite: CS graduate student or instructor permission.
This "acclimation" seminar
helps new graduate students become productive researchers. Faculty and visitors
speak on a wide variety
of research topics, as well as on tools available to researchers, including
library resources, various operating systems, UNIX power tools, programming
languages, software development and version control systems, debugging tools,
user interface toolkits, word processors, publishing systems, HTML, JAVA, browsers,
Web tools, and personal time management.

CS 756 - (3) (O)Models of Computing SystemsPrerequisite: CS 656 and either SYS 605 or ECE 611.
Explores studies
of user behavior, program behavior, and selected aspects of computer systems
such as scheduling, resource allocation, memory
sharing, paging, or deadlocks. Analyzes mathematical models and simulation,
the use of measurements in the formulation and validation of models, and performance
evaluation and prediction.

CS 771 - (3) (Y)CompilersPrerequisite: CS 660 and 655, or equivalent.
Study of techniques used
in the implementation of assemblers, compilers, and other translator systems.
Analyzes the relationship of available
techniques to the syntactic and semantic specification of languages.

CS 793 - (Credit as arranged) (SI)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

CS 851 - (3) (SI)Advanced Topics in Computer SciencePrerequisite: Instructor permission.
The exact syllabus for the seminar
depends on the interests of the participants. Recent publications are read and
analyzed. Student presentations
followed by intense discussion. Original work and submission to conferences
may be required. May be repeated for credit when the topics vary.

CS 882 - (3) (Y)Special Topics in Computer Vision/Image ProcessingPrerequisite: Instructor permission.
For M.S. and Ph.D. students conducting
research in image processing and machine vision. The contents vary with each
semester and each instructor.
An in-depth study of recent research in narrowly defined areas of computer
vision/image processing. Readings from recently published articles in journals
and conference
proceedings are assigned. Cross-listed as ECE 882.

Electrical and Computer Engineering

ECE 525 - (3) (SI)Introduction to RoboticsPrerequisite: ECE 402 or 621, or equivalent.
Analyzes kinematics, dynamics
and control of robot manipulators, and sensor and actuator technologies (including
machine vision) relevant to
robotics. Includes a robotics system design project in which students completely
design a robotic system for a particular application and present it in class.
Includes literature related to emerging technologies and Internet resources
relevant to robotics.

ECE 586, 587 - (1-3) (SI)Special Topics in Electrical and Computer EngineeringPrerequisite: Instructor permission.
A first-level graduate/advanced
undergraduate course covering a topic not normally covered in the course offerings.
The topic usually reflects
new developments in the electrical and computer engineering field. Offering
is based on student and faculty interests.

ECE 601 - (3) (SI)Network Analysis and SynthesisPrerequisite: ECE 204 and 324, or equivalent.
Design with active and
passive elements is introduced from an immittance realization standpoint. Initially,
the course deepens the students
circuit theory to include general passive and active elements and their characterization
and manipulation using matrix methods. Passive synthesis is then used as a foundation
for active synthesis employing immittance-conversion devices The course also
introduces some of the software packages available for approximation, network
function extraction, circuit synthesis and tolerance analysis. This material
provides a good background for continuing studies in signal processing, communications,
passive or active circuit design.

ECE 614 - (3) (Y)Estimation TheoryPrerequisite: ECE 611 or instructor permission.
Presents estimation
theory from a discrete-time viewpoint. One-half of the course is devoted to parameter
estimation, and the other half
to state estimation using Kalman filtering. The presentation blends theory
with applications and provides the fundamental properties of, and interrelationships
among, basic estimation theory algorithms. Although the algorithms are presented
as a neutral adjunct to signal processing, the material is also appropriate
for students with interests in pattern recognition, communications, controls,
and related engineering fields.

ECE 621 - (3) (Y)Linear Automatic Control SystemsPrerequisite: ECE 323 or instructor permission.
Provides a working
knowledge of the analysis and design of linear automatic control systems using
classical methods. Introduces state space
techniques; dynamic models of mechanical, electrical, hydraulic and other systems;
transfer functions; block diagrams; stability of linear systems, and Nyquist
criterion; frequency response methods of feedback systems design and Bode diagram;
Root locus method; System design to satisfy specifications; PID controllers;
compensation using Bode plots and the root locus. Powerful software is used
for system design. Cross-listed as MAE 651.

ECE 642 - (3) (Y)Optics for OptoelectronicsPrerequisite: ECE 541 or instructor permission.
Covers the electromagnetic
applications of Maxwells equations
in photonic devices such as the dielectric waveguide, fiber optic waveguide
and Bragg optical scattering devices. Includes the discussion of the exchange
of electromagnetic energy between adjacent guides, (i.e., mode coupling). Ends
with an introduction to nonlinear optics. Examples of optical nonlinearity include
second harmonic generation and soliton waves.

ECE 667 - (3) (Y)Semiconductor Materials and DevicesPrerequisite: Some background in solid state materials
and elementary quantum principles.
Examines the fundamentals, materials, and
engineering properties of semiconductors; and the integration of semiconductors
with other materials
to make optoelectronic and microelectronic devices. Includes basic properties
of electrons in solids; electronic, optical, thermal and mechanical properties
of semiconductors; survey of available semiconductors and materials choice for
device design; fundamental principles of important semiconductor devices; sub-micron
engineering of semiconductors, metals, insulators and polymers for integrated
circuit manufacturing; materials characterization techniques; and other electronic
materials. Cross-listed as MSE 667.

ECE 686, 687 - (3) (SI)Special Topics in Electrical and Computer EngineeringPrerequisite: Instructor permission.
A first-level graduate course
covering a topic not normally covered in the graduate course offerings. The topic
will usually reflect new
developments in the electrical and computer engineering field. Offering is
based on student and faculty interests.

ECE 693 - (3) (S)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

ECE 695 - (3-6) (S)Supervised Project ResearchFormal record of student commitment to project research under
the guidance of a faculty advisor. A project report is required at the completion
of each semester. May be repeated as necessary.

ECE 726 - (3) (O)Nonlinear Control SystemsPrerequisite: ECE 621 and 622.
Studies the dynamic response of nonlinear
systems; analyzes nonlinear systems using approximate analytical methods; stability
analysis using
the second method of Liapunov, describing functions, and other methods. May
include adaptive, neural, and switched systems. Cross-listed as MAE 756.

ECE 728 - (3) (E)Digital Control SystemsPrerequisite: ECE 412 and 621, APMA 615, or equivalent.
Includes sampling
processes and theorems, z-transforms, modified transforms, transfer functions,
and stability criteria; analysis in frequency
and time domains; discrete state models of systems containing digital computers.
Some in-class experiments using small computers to control dynamic processes.
Cross-listed as MAE 758.

ECE 735 - (3) (Y)Digital and Computer System DesignPrerequisite: ECE 435 or equivalent.
Studies the design of the elements
of special purpose and large scale digital processors using a hardware description
language. Selected topics
from the literature.

ECE 736 - (3) (Y)Advanced VLSI Systems DesignPrerequisite: ECE 563 or instructor permission.
Includes structured
VLSI design, special purpose VLSI architectures, and algorithms for VLSI computer-aided
design. A major part of the class is
devoted to the design and implementation of a large project. Uses papers from
current literature as appropriate.

ECE 786, 787 - (3) (SI)Special Topics in Electrical and Computer EngineeringPrerequisite: Instructor permission.
A second level graduate course
covering a topic not normally covered in the graduate course offerings. Topics
usually reflect new developments
in electrical and computer engineering and are based on student and faculty
interests.

ECE 793 - (3) (S)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

ECE 862 - (3) (SI)High Speed TransistorsPrerequisite: ECE 663 or 768 or instructor permission.
Includes the
principles of operation, device physics, basic technology, and modeling of high
speed transistors. A brief review of material
properties of most important compound semiconductors and heterostructure systems,
followed by the discussion of high speed Bipolar Junction Transistor technology,
Heterojuction Bipolar Transistors, and Tunneling Emitter Bipolar Transistors
and by the theory and a comparative study of MESFETs, HFETs, and Variable-Threshold
and Split-gate Field Effect Transistors. Also includes advanced transistor concepts
based on ballistic and hot electron transport in semiconductors such as Ballistic
Injection Transistors and Real Space Transfer Transistors (RSTs) concepts.

ECE 886, 887 - (3) (SI)Special Topics in Electrical and Computer EngineeringPrerequisite: Instructor permission.
A third-level graduate course
covering a topic not normally covered in the graduate course offerings. The topic
will usually reflect new
developments in the electrical and computer engineering field. Offering is
based on student and faculty interests.

ECE 895 - (3-6) (S)Supervised Project ResearchFormal record of student commitment to project research under
the guidance of a faculty advisor. Registration may be repeated as necessary.

Materials Science and Engineering

MSE 512 - (3) (Y)Introduction to BiomaterialsProvides a multi-disciplinary perspective on the phenomenon
and processes which govern material-tissue interactions with the soft tissue,
hard tissue, and cardiovascular environments. Emphasizes both sides of the biomaterials
interface, examining the events at the interface, and discussing topics on material
durability and tissue compatibility.

MSE 524 - (3) (Y)Modeling in Materials ScienceComputational (primarily classical) methods of atomistic, mesoscopic,
continuum, and multiscale modeling are discussed in the context of real materials-related
problems (mechanical and thermodynamic properties, phase transformations, microstructure
evolution during processing). Success stories and limitations of contemporary
computational methods are considered. The emphasis of the course is on getting
practical experience in designing and performing computer simulations. A number
of pre-written codes are provided. Students use and modify the pre-written codes
and write their own simulation and data analysis codes while working on their
homework assignments and term projects.

MSE 532 - (3) (Y)Deformation and Fracture of Materials during Processing and ServicePrerequisites: MSE 306 or instructor permission.
Deformation and fracture
are considered through integration of materials science microstructure and solid
mechanics principles, emphasizing
the mechanical behavior of metallic alloys and engineering polymers. Metal
deformation is understood based on elasticity theory and dislocation concepts.
Fracture
is understood based on continuum fracture mechanics and microstructural damage
mechanisms. Additional topics include fatigue loading, elevated temperature
behavior, material embrittlement, time-dependency, experimental design, and
damage-tolerant life prediction.

MSE 567 - (3) (Y)Electronic, Optical and Magnetic Properties of MaterialsExplore the fundamental physical laws governing electrons in
solids, and show how that knowledge can be applied to understanding electronic,
optical and magnetic properties. Students will gain an understanding of how
these properties vary between different types of materials, and thus why specific
materials are optimal for important technological applications. It will also
be shown how processing issues further define materials choices for specific
applications.

MSE 601 - (3) (Y)Materials Structure and DefectsPrerequisite: Instructor permission.
Provides a fundamental understanding
of the structure and properties of perfect and defective materials. Topics include:
crystallography and crystal
structures, point defects in materials, properties of dislocations in f.c.c.
metals and other materials, surface structure and energy, structure and properties
of interphase boundaries.

MSE 602 - (3) (Y)Materials CharacterizationPrerequisite: MSE 601 and MSE 623.
Develops a broad understanding of
the means used to characterize the properties of solids coupled with a fundamental
understanding of the underlying
mechanisms in the context of material science and engineering. The course is
organized according to the type of physical property of interest. The methods
used to assess properties are described through integration of the principles
of materials science and physics. Methods more amenable to analysis of bulk
properties are differentiated from those aimed at measurements of local/surface
properties. Breadth is achieved at the expense of depth to provide a foundation
for advanced courses.

MSE 604 - (3) (SS)Scanning Electron Microscopy and MicroanalysisPrerequisite: Instructor permission.
Covers the physical principles
of scanning electron microscopy and electron probe microanalysis. Laboratory
demonstrations and experiments
cover the operation of the SEM and EPMA. Applications of secondary and backscattered
electron imaging, energy dispersive x-ray microanalysis, wave- analysis are
applied to materials characterization. Laboratory experiments may include either
materials science or biological applications, depending on the interests of
the student.

MSE 605 - (3) (Y)Structure and Properties of Materials IPrerequisite: Instructor permission.
This is the first of a sequence
of two basic courses for first-year graduate students or qualified undergraduate
students. Topics include atomic
bonding, crystal structure, and crystal defects in their relationship to properties
and behavior of materials (polymers, metals, and ceramics); phase equilibria
and non-equilibrium phase transformations.

MSE 606 - (3) (Y)Structure and Properties of Materials IIPrerequisite: MSE 605 or instructor permission.
This is the second
of a two-course sequence for the first-year graduate and qualified undergraduate
students. Topics include diffusion in solids;
elastic, anelastic, and plastic deformation; and electronic and magnetic properties
of materials. Emphasizes the relationships between microscopic mechanisms and
macroscopic behavior of materials.

MSE 623 - (3) (Y)Thermodynamics of MaterialsPrerequisite: Instructor permission.
Emphasizes the understanding of
thermal properties such as heat capacity, thermal expansion, and transitions
in terms of the entropy and
the other thermodynamic functions. Develops the relationships of the Gibbs
and Helmholtz functions to equilibrium systems, reactions, and phase diagrams.
Open
systems, chemical reactions, capillarity effects and external fields are also
discussed.

MSE 624 - (3) (Y)Kinetics of Solid-state ReactionsPrerequisite: MSE 623.
Course serves as an introduction to kinetic
processes in solids, develops basic mathematical skills necessary for understanding
kinetics in materials
research, and reinforces basic numerical and computer programming skills. Students
learn to formulate partial differential equations and boundary conditions which
describe kinetic phenomena in the solid state including mass and heat diffusion
in single- and two-phase systems, the motion of planar phase boundaries, the
growth of intermediate phases, multicomponent alloys, and interfacial reactions.
Students develop analytical and numerical techniques for solving these equations
and apply them to understanding diffusion in one, two and three dimensions.

MSE 667 - (3) (Y)Semiconductor Materials and DevicesPrerequisite: Some background in solid state materials
and elementary quantum principles.
Provides an understanding of the fundamentals,
materials, and engineering properties of semiconductors; and the integration
of semiconductors
with other materials to make optoelectronic and microelectronic devices. Topics
include basic properties of electrons in solids; electronic, optical, thermal
and mechanical properties of semiconductors; survey of available semiconductors
and materials choice for device design; fundamental principles of important
semiconductor devices; sub-micron engineering of semiconductors, metals, insulators
and polymers for integrated circuit manufacturing; materials characterization
techniques; and other electronic materials. Cross-listed as ECE 667.

MSE 691, 692 - (3) (SI)
Topics in Materials Science
A study of special subjects related to developments in materials science under
the direction of members of the staff. Offered as required.

MSE 693 - (Credit as arranged) (S)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

MSE 694 - (3) (Y)
Materials Science Laboratory
Introduces student to the specialized experimental techniques used in materials
science research. Particular attention given to the techniques of X-ray diffractions
and electron microscopy. The student is also introduced to several of the latest
experimental methods such as field ion microscopy, electron spin resonance,
and low voltage electron diffraction. This course builds on MSE 602.

MSE 695 - (Credit as arranged) (S)Supervised Project ResearchFormal record of student commitment to project research for
Master of Science or Master of Materials Science degree under the guidance of
a faculty advisor. May be repeated as necessary.

MSE 712 - (3) (Y)Diffusional Processes in MaterialsPrerequisite: MSE 623, 624.
The Cahn-Hilliard phenomenological theory
of diffusion in stressed crystalline solids is developed for binary and multicomponent
systems. Beginning
with the concept of a gradient energy, athermodynamics of heterogeneous systems
is developed and used to derive the Cahn-Hilliard diffusion equations. Elastic
deformation is then incorporated into the thermodynamic framework and the effect
of compositional and epitaxial strains on diffusion and microstructural evolution
is examined.

MSE 714 - (3) (SI)Quantization in SolidsQuantization arising from eigenvalue problems is discussed
in relation to the classical and quantum wave equations. This theory is applied
to lattice vibrations (phonons) and electrons in a solid. Topics studied in
detail include cohesion, thermal properties (e.g., specific heat and conductivity),
electrical properties (e.g., metallic conductivity and semiconductor junctions)
and optical properties (e.g., luminescence and photoconductivity).

MSE 722 - (3) (SI)Surface SciencePrerequisite: Instructor permission.
Analyzes the structure and thermodynamics
of surfaces, with particular emphasis on the factors controlling chemical reactivity
of surfaces;
adsorption, catalysis, oxidation, and corrosion are considered from both theoretical
and experimental viewpoints. Modern surface analytical techniques, such as Auger,
ESCA, and SIMS are considered.

MSE 731 - (3) (Y)Mechanical Behavior of MaterialsPrerequisite: MSE 532 or instructor permission.
Studies the deformation
of solids under stress; emphasizing the role of imperfections, state of stress,
temperature and strain rate; description
of stress, strain, strain rate and elastic properties of materials comprise
the opening topic. Then considers fundamental aspects of crystal plasticity,
along with the methods for strengthening crystals at low temperatures. Covers
deformation at elevated temperatures and deformation maps. Emphasizes the relationships
between microscopic mechanisms and macroscopic behavior of materials.

MSE 734 - (3) (Y)Phase TransformationsPrerequisite: MSE 623 or comparable thermodynamics.
Includes the fundamental
theory of diffusional phase transformations in solid metals and alloys; applications
of thermodynamics to calculation of
phase boundaries and driving forces for transformations; theory of solid-solid
nucleation, theory of diffusional growth, comparison of both theories with experiment;
applications of thermodynamics and of nucleation and growth theory to the principal
experimental systematics of precipitation from solid solution, the massive transformations,
the cellular and the pearlite reactions, martensitic transformations, and the
questions of the role of shear in diffusional phase transformations.

MSE 741 - (3) (Y)Crystal Defect TheoryPrerequisite: MSE 662 or instructor permission.
Studies the nature
and major effects of crystal defects on the properties of materials, emphasizing
metals. The elasticity theory of dislocations
is treated in depth.

MSE 751 - (3) (Y)Polymer SciencePrerequisite: Instructor permission.
Emphasizes the nature and types
of polymers and methods for studying them. Surveys chemical structures and methods
of synthesis, and develops
the physics of the special properties of polymers (e.g., rubber elasticity,
tacticity, glass transitions, crystallization, dielectric and mechanical relaxation,
and permselectivity). Discusses morphology of polymer systems and its influence
on properties.

MSE 752 - (3) (SI)Advanced Polymer Science IIPrerequisite: MSE 751 or instructor permission.
Focuses on the experimental
methods of polymer science. Develops a picture of polymer structure and properties
by examining the use of solutions
(viscosity and chromatography), thermal (DSC, DTA, TGA), microscopic (electron
and optical), spectroscopic (IR, Raman, NRM, mechanical and dielectric), scattering
(neutron, X-ray, and visible light), and diffraction (neutron, electron and
X-ray) techniques as they are applied to the characterization and study of
polymeric materials.

MSE 762 - (3) (E)Modern Composite TechnologyPrerequisite: Instructor permission.
Discusses the technology of modern
composite materials including basic principles, mechanics, reinforcements, mechanical
properties and fracture
characteristics, fabrication techniques, and applications. Emphasizes high
performance filamentary reinforced materials. Discusses the principles of chemical
vapor
deposition and the application of this technology to the area of composite
materials.

MSE 771 - (3) (SI)Advanced ElectrochemistryA specialized course detailing specific subject matter in the
areas of corrosion of stainless steel, cyclic voltammetry, and the adsorption
of hydrogen on and diffusion of hydrogen through Palladium. Associated experimental
methods are discussed.

MSE 791, 792 - (3) (SI)Advanced Topics in Materials SciencePrerequisite: Permission of the staff.
An advanced level study of special
subjects related to developments in materials science under the direction of
members of the staff. Offered as
required.

MSE 793 - (Credit as arranged) (S)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

MSE 795 - (Credit as arranged) (S)Supervised Project ResearchFormal record of student commitment to project research for
Doctor of Philosophy degree under the guidance of a faculty advisor. May be
repeated as necessary.

MAE 608 - (3) (E)Constitutive Modeling of BiosystemsPrerequisite: Continuum Mechanics.
The course covers state-of-the-art
mechanical models to describe the constitutive behavior of hard and soft tissues
with emphasis on biological
form following physiological function. The course will cover linear and nonlinear
elasticity, viscoelasticity, poroelasticity, and biphasic constitutive relations
in the context of biological systems and will include the dependence of macroscopic
behavior and properties on material microstructure.

MAE 612 - (3) (E)Microscale Heat TransferPrerequisite: MAE 610.
This course will begin with a study of the fundamental
microscopic energy carriers (definitions, properties, energy levels and disruptions
of photons,
phonons, and electrons.) Transport of energy will then be investigated with
an emphasis on microscale effects in space and in time. The approaches used
to describe microscale heat transportation differ significantly from the macroscopic
phenomenological approaches and include new physical mechanisms. They often
involve solution of the Boltzman transport equation and the equation of phonon
radiative transfer. These approaches will be introduced with an emphasis on
ultra-short time scale heating and ultra-low temperatures.

MAE 620 - (3) (IR)Energy Principles in MechanicsPrerequisite: Instructor permission.
Analyzes the derivation, interpretation,
and application to engineering problems of the principles of virtual work and
complementary virtual
work; related theorems, such as the principles of the stationary value of the
total potential and complementary energy, Castiglianos Theorems, theorem
of least work, and unit force and displacement theorems. Introduces generalized,
extended, mixed, and hybrid principles; variational methods of approximation,
Hamiltons principle, and Lagranges equations of motion; and approximate
solutions to problems in structural mechanics by use of variational theorems.
Cross-listed as AM 620 and CE 620.

MAE 624 - (3) (E)Nonlinear Dynamics and WavesPrerequisite: Undergraduate ordinary differential equations
or instructor permission.
Introduces phase-space methods, elementary bifurcation
theory and perturbation theory, and applies them to the study of stability in
the contexts
of nonlinear dynamical systems and nonlinear waves, including free and forces
nonlinear vibrations and wave motions. Examples are drawn from mechanics and
fluid dynamics, and include transitions to periodic oscillations and chaotic
oscillations. Cross-listed as APMA 624.

MAE 625 - (3) (O)Multibody Mechanical SystemsPrerequisite: Engineering degree and familiarity with
a programming language.
Analytical and computational treatment for modeling
and simulation of 3-Dimensional multibody mechanical systems. Provide a systematic
and consistent
basis for analyzing the interactions between motion constraints, kinematics,
static, dynamic, and control behavior of multibody mechanical systems. Applications
to machinery, robotic devices and mobile robots, biomechanical models for gait
analysis and human motions, and motion control. Matrix modeling procedures with
symbolic and numerical computational tools will be utilized for demonstrating
the methods developed in this course. Focus on the current research and computational
tools and examine a broad spectrum of physical systems where multibody behavior
is fundamental to their design and control.

MAE 634 - (3) (O)Transport Phenomena in Biological SystemsPrerequisite: Introductory fluid mechanics and/or heat
or mass transfer, or instructor permission.
Fundamentals of momentum, energy
and mass transport as applied to complex biological systems ranging from the
organelles in cells to whole
plants and animals and their environments. Derivation of conservation laws
(momentum, heat and mass), constitutive equations, and auxiliary relations. Applications
of theoretical equations and empirical relations to model and predict the characteristics
of diffusion and convection in complex biological systems and their environments.
Emphasis placed on the bio-mechanical understanding of these systems through
the construction of simplified mathematical models amenable to analytical,
numerical or statistical formulations and solutions, including the identification
and
quantification of model uncertainties.

MAE 652 - (3) (Y)Linear State Space SystemsPrerequisite: Graduate standing.
A comprehensive treatment of the theory
of linear state space systems, focusing on general results which provide a conceptual
framework as
well as analysis tools for investigation in a wide variety of engineering contexts.
Topics include vector spaces, linear operators, functions of matrices, state
space description, solutions to state equations (time invariant and time varying),
state transition matrices, system modes and decomposition, stability, controllability
and observability, Kalman decomposition, system realizations, grammians and
model reduction, state feedback, and observers. Cross-listed as SYS 612 and
ECE 622.

MAE 668 - (3) (Y)Advanced Machine TechnologiesPrerequisite: MAE 665 and 667.
Studies new technologies for machine
automation, including intelligent machines, robotics, machine vision, image processing,
and artificial
intelligence. Emphasis on computer control of machines; intelligent automatic
control systems; and distributed networks. Focuses on research problems in each
of these areas.

MAE 692 - (3) (Y)Special Topics in Mechanical and Aerospace Science: Intermediate LevelStudy of a specialized, advanced, or exploratory topic relating
to mechanical or aerospace engineering science, at the first-graduate-course
level. May be offered on a seminar or a team-taught basis. Subjects selected
according to faculty interest. New graduate courses are usually introduced in
this form. Specific topics and prerequisites are listed in the Course Offering
Directory.

MAE 694 - (Credit as arranged) (Y)Special Graduate Project in Mechanical or Aerospace Engineering: First-Year
LevelA design or research project for a first-year graduate student
under the supervision of a faculty member. A written report must be submitted
and an oral report presented. Up to three credits from either this course or
MAE 794 may be applied toward the masters degree.

MAE 703 - (3) (E)Injury BiomechanicsPrerequisite: MAE 608.
This is an advanced applications course on the
biomechanical basis of human injury and injury modeling. The course covers the
etiology of
human injury and state-of-the-art analytic and synthetic mechanical models
of human injury. The course will have a strong focus on modeling the risk of
impact
injuries to the head, neck, thorax, abdomen and extremities. The course will
explore the biomechanical basis of widely used and proposed human injury criteria
and will investigate the use of these criteria with simplified dummy surrogates
to assess human injury risk. Brief introductions to advanced topics such as
human biomechanical variation with age and sex, and the biomechanics of injury
prevention will be presented based on current research and the interests of
the students.

MAE 753 - (3) (O)Optimal Dynamical SystemsPrerequisite: Two years of college mathematics, including
some linear and vector calculus. Classical and state spaced controls and undergraduate
design courses are recommended.
Introduces the concept of performance metrices
for dynamical systems and examines the optimization of performances over both
parameter and
function spaces. Discusses both the existence of optimal solutions to dynamic
problems and how these may be found. Such results provide via limits to performance
of dynamic systems, which delineate what can and cannot be achieved via engineering.
Constitutes a basis for more advanced study in design synthesis and optimal
control. Cross-listed as ECE 723.

MAE 755 - (3) (E)Multivariable ControlPrerequisite: MAE 652.
State space theories for linear control system
design have been developed over the last 40 years. Among those, H2 and Hinf control
theories
are the most established, powerful, and popular in applications. This course
focuses on these theories and shows why and how they work. Upon completion of
this course, student will be confident in applying the theories and will be
equipped with technical machinery that allows them to thoroughly understand
these theories and to explore new control design methods if desired in their
own research. More importantly, students will learn a fundamental framework
for optimal system design from a state perspective. Cross-listed as ECE 725.

MAE 791 - (0-1) (S)Research Seminar, Mechanical
and Aerospace Engineering: Masters StudentsRequired one-hour weekly
seminar for masters students
in mechanical and aerospace and nuclear engineering. Students enrolled in MAE
898 or 694/794 make formal presentations of their work.

MAE 792 - (3) (Y)Special Topics in Mechanical or Aerospace Engineering Science: Advanced
LevelA specialized, advanced, or exploratory topic relating to mechanical
or aerospace engineering science, at the second-year or higher graduate level.
May be offered on a seminar or team-taught basis. Subjects selected according
to faculty interest. Topics and prerequisites are listed in the Course Offering
Directory.

MAE 794 - (Credit as arranged) (Y)Special Graduate Project in Mechanical or Aerospace Engineering: Advanced
LevelA design or research project for an advanced graduate student
under the supervision of a faculty member. A written report must be submitted
and an oral report must be presented. Up to three credits of either this course
or MAE 694 may be applied toward the masters degree.

MAE 898 - (1-12) (Y)Masters Thesis Research,
Mechanical and Aerospace EngineeringFormal documentation of faculty supervision of thesis research.
Each full-time, resident Master of Science student in mechanical and aerospace
engineering is required to register for this course for the number of credits
equal to the difference between his or her regular course load (not counting
the one-credit MAE 791 seminar) and 12.

MAE 991 - (0-1) (S)Research Seminar, Mechanical and Aerospace Engineering: Doctoral StudentsRequired one-hour weekly seminar for doctoral students in mechanical,
aerospace, and nuclear engineering. Students enrolled in MAE 999 may make formal
presentations of their work.

MAE 999 - (1-12) (Y)Dissertation Research, Mechanical and Aerospace EngineeringFormal documentation of faculty supervision of dissertation
research. Each full-time resident doctoral student in mechanical and aerospace
engineering is required to register for this course for the number of credits
equal to the difference between his or her regular course load (not counting
the one-credit MAE 991 seminar) and 12.

Systems and Information Engineering

SYS 601 - (3) (Y)Introduction to Systems EngineeringPrerequisite: Admission to the graduate program.
An integrated introduction
to systems methodology, design, and management. An overview of systems engineering
as a professional and intellectual
discipline, and its relation to other disciplines, such as operations research,
management science, and economics. An introduction to selected techniques in
systems and decision sciences, including mathematical modeling, decision analysis,
risk analysis, and simulation modeling. Elements of systems management, including
decision styles, human information processing, organizational decision processes,
and information system design for planning and decision support. Emphasizes
relating theory to practice via written analyses and oral presentations of
individual and group case studies.

SYS 602 - (3) (Y)Systems IntegrationPrerequisite: SYS 601 or instructor permission.
Provides an introduction
to the problems encountered when integrating large systems, and also presents
a selection of specific technologies and methodologies
used to address these problems. Includes actual case-studies to demonstrate
systems integration problems and solutions. A term project is used to provide
students with the opportunity to apply techniques for dealing with systems integration.

SYS 603 - (3) (Y)Mathematical ProgrammingPrerequisite: Two years of college mathematics, including
linear algebra, and the ability to write computer programs.
Presents the foundations
of mathematical modeling and optimization, with emphasis on problem formulation
and solution techniques. Coverage includes
linear programs, nonlinear programs, combinatorial models, optimality conditions,
search strategies, and numerical algorithms. Topics are illustrated through
classic problems such as service planning, operations management, manufacturing,
transportation, and network flow.

SYS 609 - (3) (IR)The Art and Science of Systems ModelingFocuses on learning and practicing the art and science of systems
modeling through diverse case studies. Topics span the modeling of discrete
and continuous, static and dynamic, linear and non-linear, and deterministic
and probabilistic systems. Two major dimensions of systems modeling are discussed
and their efficacy is demonstrated: Dimension I: The building blocks of mathematical
models and the centrality of the state variables in systems modeling, including:
state variables, decision variables, random variables, exogenous variables,
inputs and outputs, objective functions, and constraints. Dimension II: Effective
tools in systems modeling, including: multiobjective models, influence diagrams,
event trees, systems identification and parameter estimation, hierarchical holographic
modeling, and dynamic programming.

SYS 612 - (3) (IR)Dynamic SystemsPrerequisite: APMA 213 or equivalent.
Introduces modeling, analysis,
and control of dynamic systems, using ordinary differential and difference equations.
Emphasizes the properties
of mathematical representations of systems, the methods used to analyze mathematical
models, and the translation of concrete situations into appropriate mathematical
forms. Primary coverage includes ordinary linear differential and difference
equation models, transform methods and concepts from classical control theory,
state-variable methods and concepts from modern control theory, and continuous
system simulation. Applications are drawn from social, economic, managerial,
and physical systems. Cross-listed as MAE 652.

SYS 616 - (3) (Y)Knowledge-Based SystemsIntroduces the fundamental concepts necessary for successful
research in, and real world application of, knowledge-based decision support
systems. Emphasizes knowledge acquisition, system design principles, and testing
systems with human subjects. Students are required to work through several design
and testing exercises and develop a final project that applies principles learned
in class. Cross-listed as CS 616.

SYS 618 - (3) (Y)Data MiningPrerequisite: SYS 605 or STAT 512.
Data mining describes approaches
to turning data into information. Rather than the more typical deductive strategy
of building models using known
principles, data mining uses inductive approaches to discover the appropriate
models. These models describe a relationship between a systems response(s)
and a set of factors or predictor variables. Data mining in this context provides
a formal basis for machine learning and knowledge discovery. This course investigates
the construction of empirical models from data mining for systems with both
discrete and continuous valued responses. It covers both estimation and classification, and
explores both practical and theoretical aspects of data mining.

SYS 654 - (3) (Y)Financial EngineeringPrerequisite: SYS 603 or equivalent graduate-level optimization
course. Students need not have any background in finance or investment.
Provides
an introduction to basic topics in finance from an engineering and modeling perspective.
Topics include the theory of interest,
capital budgeting, valuation of firms, futures and forward contracts, options
and other derivatives, and practical elements of investing and securities speculation.
Emphasis is placed on the development and solution of mathematical models for
problems in finance, such as capital budgeting, portfolio optimization, and
options pricing; also predictive modeling as it is applied in credit risk management.
One of the unique features of this course is a stock trading competition hosted
on www.virtualstockexchange.com or a similar site.

SYS 670 - (3) (Y)Environmental Systems AnalysisPrerequisites: CHEM 152, PHYS 241.
This course focuses on the infrastructure
for the provision of drinking water, wastewater/sewage, and solid waste management
services in
the context of the environmental systems in which they are embedded and the
institutional framework within which they must operate. It begins with coverage
of the infrastructure design, operation, and maintenance, proceeds to a treatment
of the concept of integrated sanitation systems, then considers the major environmental
issues relevant to these services, including global worming, tropospheric and
stratospheric ozone, and hazardous waste. It progresses to a study of the common
tools in environmental systems analysis: lifecycle assessment, environmental
economics, mass and energy balances, benefit-cost analysis, risk analysis,
and environmental forecasting. Includes an analysis of the global picture of
water
and sanitation service availability and closes with the relevance of this issue
to sustainable development.

SYS 681, 682 - (3) (IR)Selected Topics in Systems EngineeringDetailed study of a selected topic, determined by the current
interest of faculty and students. Offered as required.

SYS 693 - (Credit as arranged) (S)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

SYS 695 - (Credit as arranged) (S)Supervised Project ResearchFormal record of student commitment to project research under
the guidance of a faculty advisor. Registration may be repeated as necessary.

SYS 702 - (3) (SS)Case Studies in Systems EngineeringPrerequisite: SYS 601, 603, and 605.
Under faculty guidance, students
apply the principles of systems methodology, design, and management along with
the techniques of systems and
decision sciences to systems analysis and design cases. Primary goal is the
integration of numerous concepts from systems engineering using real-world cases.
Focuses on presenting, defending, and discussing systems engineering projects
in a typical professional context. Cases span a broad range of applicable technologies
and involve the formulation of the issues, modeling of decision problems, analysis
of the impact of proposed alternatives, and interpretation of these impacts
in terms of the client value system. Cases are extracted from actual government,
industry, and business problems.

SYS 705 - (3) (Y)Advanced Stochastic ProcessesPrerequisite: SYS 605 or equivalent.
Provides a non-measure theoretic
treatment of advanced topics in the theory of stochastic processes, focusing
particularly on denumerable
Markov processes in continuous time and renewal processes. The principal objective
of the course is to convey a deep understanding of the main results and their
proofs, sufficient to allow the students to make theoretical contributions to
engineering research.

SYS 716 - (3) (Y)Artificial IntelligencePrerequisite: SYS 616 or CS 616.
In-depth study of major areas considered
to be part of artificial intelligence. In particular, detailed coverage is given
to the design considerations
involved in automatic theorem proving, natural language understanding, and
machine learning. Cross-listed as CS 716.

SYS 721 - (3) (IR)Research Methods in Systems EngineeringCorequisite: SYS 601, 603, 605, or equivalent.
Study of the philosophy,
theory, methodology, and applications of systems engineering provides themes
for this seminar in the art of reading,
studying, reviewing, critiquing, and presenting scientific and engineering
research results. Applications are drawn from water resources, environmental,
industrial
and other engineering areas. Topics discussed and papers reviewed are selected
at the first meeting. Throughout the semester, students make a one-hour presentation
of their chosen paper, followed by a one and one-half hour discussion, critique,
evaluation, and conclusions regarding the topic and its exposition.

SYS 730 - (3) (IR)Time Series Analysis and ForecastingPrerequisite: SYS 605 or equivalent.
An in-depth study of time series
analysis and forecasting models from a statistical and engineering perspective.
Emphasizes the process of stochastic
model building including model identification, estimation, and model diagnostic
checking. Topics include smoothing and filtering, ARIMA models, frequency domain
analysis, and vector processes.

SYS 763 - (3) (IR)Response Surface MethodsPrerequisite: SYS 601, 605, and 674, or instructor permission.
Response
surface methods provide process and design improvement through the collection
and analysis of data from controlled experimentation.
This course investigates the construction of response models for systems with
discrete and continuous valued responses. The course will cover design of experiments
for optimization and methods for building and using response surfaces from simulation,
known as simulation-optimization.

SYS 793 - (Credit as arranged) (S)Independent StudyDetailed study of graduate course material on an independent
basis under the guidance of a faculty member.

SYS 796 - (1) (S)Systems Engineering ColloquiumRegular meeting of graduate students and faculty for presentation
and discussion of contemporary systems problems and research. Offered for credit
each semester. Registration may be repeated as necessary.

SYS 895 - (Credit as arranged) (S)Supervised Project ResearchFormal record of student commitment to project research for
Master of Engineering degree under the guidance of a faculty advisor. Registration
may be repeated as necessary.